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Finding the Fourth Proportional to 9,722.18, 13,416.86 and 5,473.40

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Solution

The fourth proportional to 9,722.18, 13,416.86 and 5,473.40 is: 7,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.18 : 13,416.86 = 5,473.40 : x
  2. Step 2: Convert to fraction form
    9,722.18/13,416.86 = 5,473.40/x
  3. Step 3: Cross multiply
    9,722.18x = 13,416.86 × 5,473.40
  4. Step 4: Simplify right side
    9,722.18x = 73,435,747.07
  5. Step 5: Solve for x
    x = 73,435,747.07/9,722.18
  6. Step 6: Final answer
    x = 7,553.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.